Lesson: Pascal's Triangle and the Binomial Theorem

By calculating the next row of Pascal’s triangle, find the coefficients of the expansion of .

Daniel now wants to calculate the coefficients for each of the terms of the expansion . By substituting into the expression above, or otherwise, calculate all of the coefficients of the expansion.

Find the coefficient of in the expansion of .

Calculate the numbers in the row of Pascal’s triangle and, hence, write out the coefficients of the expansion .

Now, by considering the different powers of and and using Pascal’s triangle, work out the coefficients of the expansion .